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Finding the Fourth Proportional to 397,007.15, 595,175.81 and 172,198.23

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Solution

The fourth proportional to 397,007.15, 595,175.81 and 172,198.23 is: 258,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,007.15 : 595,175.81 = 172,198.23 : x
  2. Step 2: Convert to fraction form
    397,007.15/595,175.81 = 172,198.23/x
  3. Step 3: Cross multiply
    397,007.15x = 595,175.81 × 172,198.23
  4. Step 4: Simplify right side
    397,007.15x = 102,488,220,159.83
  5. Step 5: Solve for x
    x = 102,488,220,159.83/397,007.15
  6. Step 6: Final answer
    x = 258,152.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.